10342790400 has 216 divisors, whose sum is σ = 35236466944. Its totient is φ = 2668953600.

The previous prime is 10342790399. The next prime is 10342790407. The reversal of 10342790400 is 409724301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10342790407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 586512 + ... + 603888.

Almost surely, 2^10342790400 is an apocalyptic number.

10342790400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10342790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17618233472).

10342790400 is an abundant number, since it is smaller than the sum of its proper divisors (24893676544).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10342790400 is a wasteful number, since it uses less digits than its factorization.

10342790400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17437 (or 17418 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The spelling of 10342790400 in words is "ten billion, three hundred forty-two million, seven hundred ninety thousand, four hundred".